[lutusp]

> And we all know moving along a curved path has non-zero acceleration.

Not to give the OP undue attention for what is a truly weird post, but a curved path through curved spacetime (as seen from a different perspective), as with a gravitational orbit, can have zero acceleration.

> It is obvious that earth is rotating around the sun not the other way around. You just have to consider the forces.

That's not obvious at all -- there are no forces at work in a relativistic orbit (because gravity is not a force). The earth and the sun orbit their mutual center of mass, neither experiences acceleration, and neither of them experience a real centripetal or fictional centrifugal force.

Therefore there would be no way to use centrifugal force to argue that one of the bodies has a special role in the orbit. It's easy to see why -- just adjust the relative masses, gradually make the sun's mass smaller and the earth's mass larger, and try to argue that there's a special moment where their roles reverse. Clearly not the case -- regardless of their relative masses they're always equal partners in an orbit, with one of the bodies farther from the mutual center of mass in proportion to its (smaller) mass.